Table of Contents
ISRN Probability and Statistics
Volume 2012 (2012), Article ID 263612, 11 pages
http://dx.doi.org/10.5402/2012/263612
Research Article

Inference on P r ( ๐‘‹ < ๐‘Œ ) in the Two-Parameter Weibull Model Based on Records

Department of Mathematics and Physics, College of Arts and Sciences, Qatar University, Doha 2713, Qatar

Received 2 April 2012; Accepted 21 June 2012

Academic Editors: S. Lototsky, V. Makis, M. Montero, and P. Neal

Copyright © 2012 Ayman Baklizi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider the stress-strength reliability based on record values from the Weibull distribution. The Bayes estimator based on squared error loss and the maximum likelihood estimator are derived and their bias and mean squared error performance are studied. Likelihood-based confidence intervals as well as some bootstrap intervals are developed. We derived also the highest posterior density interval. Simulation studies are conducted to investigate and compare the performance of the estimators and intervals.